Answer:
I think the answer would be -1/2 or D.
Step-by-step explanation:
Use this formula for calculating slope : y2-y1 / x2 - x1
1. label the pairs, 1 and 2
(-6, 1) - ( x1, y1 ) or (4,-4) - (x1, y1)
(4,-4) - ( x2, y2) (-6,1) - (x2, y2)
(the order does not matter)
2. Than plug in your numbers
y2-y1 / x2 -x1 y2-y1 / x2 -x1
-4 - 1 / 4 - (-6) or 1 - (-4) / -6 - 4
= -5/10 or -1/2 = - 5/-10 or -1/2
im only in eight grade so i did my best explaining , and this hope it helps :)
Answer:
The fixed costs per day for the factory is $10,000 and marginal cost of one refrigerator for $500
Step-by-step explanation:
Let
Cost per refrigerator (marginal cost) = r
Fixed costs per day for the factory = f
Total cost = variable cost + fixed cost
Monday
25,000 = 30r + f
Tuesday
30,000 = 40r + f
Using Monday,
f = 25000 -30r
Substitute f = 25000 - 30r into Tuesday
30,000 = 40r + f
30,000 = 40r + (25,000 -30r)
30,000 = 40r + 25,000 - 30r
Collect like terms
30,000 - 25,000 = 40r - 30r
5,000 = 10r
Divide both sides by 10
r = 5,000 / 10
= 500
r = $500
Substitute r= 500 into Monday equation
f = 25,000 -30r
= 25,000 - 30(500)
= 25,000 - 15,000
= 10,000
f = $10,000
Therefore, the fixed costs per day for the factory is $10,000 and marginal cost of one refrigerator for $500
The answer is 33 because 40*0.825 or 40*82.5% is 33 men.
Answer:
P(Y=1|X=3)=0.125
Step-by-step explanation:
Given :
p(1,1)=0
p(2,1)=0.1
p(3,1)=0.05
p(1,2)=0.05
p(2,2)=0.3
p(3,2)=0.1
p(1,3)=0.05
p(2,3)=0.1
p(3,3)=0.25
Now we are supposed to find the conditional mass function of Y given X=3 : P(Y=1|X=3)
P(X=3) = P(X=3,Y=1)+P(X=3,Y=2) +P(X=3,Y=3)
P(X=3)=p(3,1) +p(3,2) +p(3,3)
P(X=3)=0.05+0.1+0.25=0.4
Hence P(Y=1|X=3)=0.125
Answer:
B. 31.62
Step-by-step explanation:
First, find the distance of the line using the distance formula, 
. Plug the two points (-1,0) and (5,2) into the formula and solve. This gives you 6.32, then this is only one line of a pentagon, which has 5 sides, so you need to multiply. Since you are finding the perimeter, which is all of the sides added together, multiply the one side by 5. 6.32*5=31.62.
